@TechReport{ it:2011-013,
author = {Hans Norlander},
title = {On the Impact of Model Accuracy for Active Damping of a
Viscoelastic Beam},
institution = {Department of Information Technology, Uppsala University},
department = {Division of Systems and Control},
year = {2011},
number = {2011-013},
month = may,
abstract = {How much do model errors influence the closed loop
performance? This question is investigated for the control
problem of designing active damping of vibrations in a
viscoelastic cantilever beam. The beam is physically
modeled using Fourier transformed Euler-Bernoulli beam
equations. For control design the standard LQG technique is
employed, and two different finite order models are used.
One is based on truncated modal analysis of the system, and
the other model is numerically fitted with respect to the
frequency response of the physically theoretical model. The
so obtained controllers are evaluated on the physical model
with respect to disturbance attenuation and robustness for
stability. It is found that all controllers stabilizes the
system and attenuates the vibrations, but the controllers
based on the numerically fitted model perform notably
better than those based on truncated modal analysis.}
}